Gross, Fletcher (1964) The 2-length of a finite solvable group. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-09192002-161906
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In this paper the relationship between the 2-length [...] and the 2-exponent [...] of a finite solvable group G is studied. It is shown that [...] - 1 provided that [...].
The special case of groups satisfying [...] = 2, i.e., groups whose Sylow 2-groups are of exponent 4, is investigated to determine whether [...] in this case. This question is not answered but it is shown that a certain normal subgroup (which may be the whole group) satisfies [...]. In addition if all the elements of order 4 are contained in this subgroup, then [...] for the whole group as well. As an application of this last result, it is proved that [...] in a group of exponent 12
|Item Type:||Thesis (Dissertation (Ph.D.))|
|Degree Grantor:||California Institute of Technology|
|Division:||Physics, Mathematics and Astronomy|
|Thesis Availability:||Public (worldwide access)|
|Defense Date:||1 January 1964|
|Default Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Imported from ETD-db|
|Deposited On:||20 Sep 2002|
|Last Modified:||26 Dec 2012 03:01|
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